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Finding the Fourth Proportional to 55,384.08, 76,428.84 and 30,234

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Solution

The fourth proportional to 55,384.08, 76,428.84 and 30,234 is: 41,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,384.08 : 76,428.84 = 30,234 : x
  2. Step 2: Convert to fraction form
    55,384.08/76,428.84 = 30,234/x
  3. Step 3: Cross multiply
    55,384.08x = 76,428.84 × 30,234
  4. Step 4: Simplify right side
    55,384.08x = 2,310,749,548.56
  5. Step 5: Solve for x
    x = 2,310,749,548.56/55,384.08
  6. Step 6: Final answer
    x = 41,722.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.